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11Alexandr11 [23.1K]
4 years ago
12

A function that shifts y=x^2+1 up 5 units

Mathematics
1 answer:
zheka24 [161]4 years ago
7 0

Answer:

y =  {x}^{2}  + 6

Step-by-step explanation:

The given function is

y =  {x}^{2}  + 1

We want to find a function that shifts this function up by 5 units.

We let:

f(x) =  {x}^{2}  + 1

Then the transformed function we are looking for is

g(x) = f(x) + 5

This implies that:

g(x) =  {x}^{2}  + 1 + 5

g(x) =  {x}^{2}  + 6

Hence the function we are looking for is

y =  {x}^{2}  + 6

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